Research Group: Numerical Mathematics and Scientific Computing
Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
Tel: +49(0) 30 20372 446
Fax: +49(0) 30 2044975
I'm a scientific staff member of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in the research group of Numerical Mathematics and Scientific Computing.
I work in the field of automatic mesh generation, which is a topic about how to partition a geometric domain into a set of simple (non-overlapping) cells. It has wide variaty of applications: mathematical modeling, computer-aided design, visualizations, and so on. It combines different topics from mathematics, computer science, and engineering. It principally requires the studies of discretizing a continuous space in both of its topology and geometry. My primary investigations are the existence and the complexity of such a discretization. Many questions of this study stem from problems in discrete and combinatorial geometry.
Here is my recent talk on "3d irreducible and indecomposable polyhedra and
the number of interior Steiner points", given
in the NUMGRID 2016
conference, Oct. 31 - Nov. 2, 2016 in Moscow, Russia.
For details of my current research, please take a look at the list of my publications.
I'm developing a software, TetGen, which is used to implement state-of-the-art methods and algorithms for constructing Delaunay tetrahedralizations and quality tetrahedral meshes. It is one of the best ways to connect "methods" and "results". On the other hand, to provide a robust and efficient meshing tool for solving practical problems in engineering is also very meaningful.
I was the co-orginizer of the 25th International Meshing Roundtable (IMR), September 26-30, 2016, Washington DC. It is an international focal point on research and development of mesh generation annually. The proceedings of this conference is now available online at here .
I gave a course on "Mesh Generation Methods and Softwares" in the 2016 International Summer School of Beihang University (Beijing University of Aeronautics and Astronautics), from July 10-21, 2016, in Beijing. This course is suitable for senior and graduate students in engineering, computer science, and applied mathematics.